Math Problem Statement

solve

Complete the table by converting fractions to decimals and percentages, decimals to fractions and percentages, and percentages to fractions and decimals.

Solution

To complete this table, let's determine the values for each missing entry by converting fractions to decimals and percentages, decimals to fractions and percentages, and percentages to fractions and decimals.

Solution

  1. First Row:

    • Fraction: 23\frac{2}{3}
    • Decimal (a): To convert 23\frac{2}{3} to a decimal, divide 2÷3=0.6662 \div 3 = 0.666\ldots or approximately 0.67.
    • Percent (b): Multiply the decimal by 100 to convert it to a percent: 0.67×100=66.67%0.67 \times 100 = 66.67\% or 67%.
  2. Second Row:

    • Decimal: 1.1
    • Fraction (c): Convert 1.1 to a fraction. 1.1=11101.1 = \frac{11}{10} in fractional form.
    • Percent (d): Multiply the decimal by 100 to convert it to a percent: 1.1×100=110%1.1 \times 100 = 110\%.
  3. Third Row:

    • Percent: 4%
    • Decimal (f): Divide the percent by 100 to convert it to a decimal: 4%=0.044\% = 0.04.
    • Fraction (e): Convert 0.04 to a fraction, which is 4100=125\frac{4}{100} = \frac{1}{25}.
  4. Fourth Row:

    • Decimal: 3
    • Fraction (g): Convert 3 to a fraction, which is simply 31\frac{3}{1}.
    • Percent (h): Multiply the decimal by 100 to convert it to a percent: 3×100=300%3 \times 100 = 300\%.

Completed Table

FractionDecimalPercent
23\frac{2}{3}0.6767%
1110\frac{11}{10}1.1110%
125\frac{1}{25}0.044%
31\frac{3}{1}3300%

Would you like more details on any specific conversion?


  1. How do you convert a fraction to a decimal and a percent?
  2. What are some ways to simplify decimals to fractions?
  3. Why do we multiply by 100 to convert a decimal to a percent?
  4. How can you check if a fraction and its decimal are equivalent?
  5. What are other examples of fractions, decimals, and percentages you might see?

Tip: Remember, to convert from a decimal to a percent, just move the decimal point two places to the right.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimals
Percentages
Conversions

Formulas

Fraction to Decimal: Divide the numerator by the denominator
Decimal to Percent: Multiply by 100
Percent to Decimal: Divide by 100

Theorems

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Suitable Grade Level

Grades 5-7